1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crank
3 years ago
8

Using the formula for volume of a cone, express r in terms of V, h and pi

Mathematics
2 answers:
Ne4ueva [31]3 years ago
8 0

Answer:

r = \sqrt{\displaystyle\frac{3V}{h\pi}}

Step-by-step explanation:

We are given the following information in the question.

Using the formula for volume of cone, we have to express r in terms of V, h and pi.

Formula:

\text{Volume of cone, V} = \displaystyle\frac{1}{3}\pi r^2 h\\\\\text{where r is the radius of cone, h is the height of radius}

Now, we have to evaluate r, the radius of cone.

Rearranging the terms, we have,

Working:

V = \displaystyle\frac{1}{3}\pi r^2 h\\\\r^2 = \frac{3\times V}{\pi\times h}\\\\r^2 = \frac{3V}{h\pi}\\\\r = \sqrt{\frac{3V}{h\pi}}.

Thus, r in form of V, h and pi can be written as:

r = \sqrt{\displaystyle\frac{3V}{h\pi}}

DiKsa [7]3 years ago
3 0

The volume of the cone is one-third of the volume of the cylinder which is equal to the product of area of the base and the height. The equation is,

<span>    V = (1/3)(pi)(r^2)h          </span>

Dividing both sides of the equation by (1/3)(pi)(h) will give us,

<span>  3V/(pi)(h) = r^2</span>

Taking the square-root of both sides,

<span>  r = sqrt(3V/(pi)(h))</span>

You might be interested in
Maria boards boards a car at the bottom of a ferris wheel. she rides to the top and then it stops. maria tells her friends they
DaniilM [7]

Maria is wrong because they have completed 1/2.

Step-by-step explanation:

At the top of the Ferris wheel,the ride is 1/2 done. All that is left is to go down,which is the other half. Maria is wrong in saying they are 1/4 done,that is a quarter,not half.

6 0
3 years ago
A customer wants you to enlarge a photo to 2 3/ 4 its current height. The photo's current height is 3 1/4 inches. What should it
Nikolay [14]

I think the answer should be 6,I just added the two fractions

5 0
3 years ago
PLEASE HELP ME
zavuch27 [327]
I got 6.49204 but you will need to round so D 6.5

I added all of the numbers up
8 0
3 years ago
Read 2 more answers
1.In what ways did Egypt prosper during the reign of Hatshepsut? do your thing brainly!
Bond [772]

Answer:

She served as a queen, for Thutmose ll.

She served as queen alongside her husband, Thutmose II, but after his death, she claimed the role of pharaoh!. She reigned peace, she built temples and monuments, resulting in the flourishing of Egypt!

srry if this didn't help but I hope it did!

6 0
2 years ago
Lilly designed the letters of her name on the computer and printed them on paper. the table below shows the width and height of
Veronika [31]
Well it sounds like you are doing volume so it is length time winth time high so times all the fraction
3 0
3 years ago
Other questions:
  • F(x) = 3х+ 2<br> What is f(5)?<br> ОА. 15<br> Ов. 10<br> Ос. 21<br> OD. 17
    10·1 answer
  • How do I solve this?
    7·1 answer
  • The five-number summary for the number of accounts managed by each sales manager at Force Inc. is shown in the following table.
    5·1 answer
  • Find the area of a square with a diagonal of 4 cm.
    6·2 answers
  • How do you find the number of degrees in a third angle of a triangle
    7·1 answer
  • Liam bought 11/8 cups of carrots. If Liam eats 2/8 cup in a serving, how many servings did Liam buy
    14·1 answer
  • Help!!<br>differentiate<br><img src="https://tex.z-dn.net/?f=%20%7B%20%7Be%7D%5E%7Bx%7D%20%7D%5E%7B2%7D%20log_%7B10%7D%282x%29%2
    13·1 answer
  • Look at the png , pls help!
    6·1 answer
  • Which line segment is a diameter of circle F?<br> FE¯¯¯¯¯<br> AC¯¯¯¯¯<br> EC¯¯¯¯¯<br> BA¯¯¯¯¯
    14·1 answer
  • 1. During which of the following situations would the government most likely have a
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!